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extended boundary
Definition 1 Suppose that ${\mathbb{C}}$ is the complex plane and $G \subset {\mathbb{C}}$ . The extended boundary of $G$ denoted $\partial_\infty G$ is defined as the boundary of $G$ plus the point at infinity if in fact $G$ is unbounded.
The extended boundary of $G$ is really the boundary of $G$ in the extended complex plane (the one-point compactification of ${\mathbb{C}}$ ).
Bibliography
- 1
- John B. Conway. Functions of One Complex Variable I. Springer-Verlag, New York, New York, 1978.
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